Separate shop pages (catalog & shop)

Hello, I need do 2 shop pages

– shop page (where will be all products that not checked as virtual product and user can buy it. It can be special attribute maybe.)
– catalog page (same as shop page: categories menu, filters, product view) and where will be only products that checked as virtual product and not show “Add to cart” button)

I don’t know how better do it. Trying to research but couldn’t not find solution.